The Optimality Effectiveness of Signal Amplitude on Synchronizations Using Cascading of Chaotic System

Abstract

Cascading chaotic of a non linear system with high Order has been used to increase the security and to prevent eavesdropper of knowledge for processor stage number increasing. The new system contains five variation parameters and exhibits Lorenz and Rossler like attractors in numerical simulations. The basic dynamical properties of the new system are analyzed by means of equilibrium points, eigenvalue structures. The use of high dimensional chaotic system like Lorenz (Transmitter and Receiver) Rossler (Controller) system will give a more complex structure, more system variables, and parameters. A new kind of dual-chaos encryption algorithm which takes Logistic mapping as chaos model has been designed and analyzed. A sequence is adopted for mapping chaos of integer space in high order to solve limited precision expression problem, dual-chaos system expend control parameters and increase complexity of chaos behavior to resisted attraction of chaos reconstruction.